Computational Geosciences

, Volume 18, Issue 3–4, pp 325–341

Numerical convergence study of iterative coupling for coupled flow and geomechanics


DOI: 10.1007/s10596-013-9393-8

Cite this article as:
Mikelić, A., Wang, B. & Wheeler, M.F. Comput Geosci (2014) 18: 325. doi:10.1007/s10596-013-9393-8


In this paper, we consider algorithms for modeling complex processes in porous media that include fluid and structure interactions. Numerous field applications would benefit from a better understanding and integration of porous flow and solid deformation. Important applications in environmental and petroleum engineering include carbon sequestration, surface subsidence, pore collapse, cavity generation, hydraulic fracturing, thermal fracturing, wellbore collapse, sand production, fault activation, and waste disposal, while similar issues arise in biosciences and chemical sciences as well. Here, we consider solving iteratively the coupling of flow and mechanics. We employ mixed finite element method for flow and a continuous Galerkin method for elasticity. For single-phase flow, we demonstrate the convergence and convergence rates for two widely used schemes, the undrained split and the fixed stress split. We discuss the extension of the fixed stress iterative coupling scheme to an equation of state compositional flow model coupled with elasticity and a single-phase poroelasticity model on general hexahedral grids. Computational results are presented.


Poroelasticity Iterative coupling Contraction mapping Compositional flow Multipoint flux mixed finite element method 

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Université de LyonLyonFrance
  2. 2.Institut Camille JordanUniversité Lyon 1Villeurbanne CedexFrance
  3. 3.Center for Subsurface Modeling, The Institute for Computational Engineering and SciencesThe University of Texas at AustinAustinUSA

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